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At one of the award giving ceremonies, $36$ medals were handed out. Afterwards, it was found that Niloy had lost the receipt! He only remembers that the total price of the medals were a $5 $ digit number, and the three middle digits were all $6$. If the price of all the medals were the same integer, what was the amount spent for each medal ? Find the sum of all answers.

Number Theory

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First Solve @Sultana1402

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